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5 papers · 1 filter
Entropy Production in Non-Linear, Thermally Driven Hamiltonian Systems
Jean-Pierre Eckmann, Claude-Alain Pillet, Luc Rey-Bellet
We consider a finite chain of non-linear oscillators coupled at its ends to two infinite heat baths which are at different temperatures. Using our earlier results about the existen…
Topological aspects of geometrical signatures of phase transitions
Roberto Franzosi, Lapo Casetti, Lionel Spinelli +1
Certain geometric properties of submanifolds of configuration space are numerically investigated for classical lattice phi^4 models in one and two dimensions. Peculiar behaviors of…
About a resolvent formula
P. Duclos, P. Stovicek, O. Vana
A resolvent formula, originally presented by Karner in his habilitation, is discussed. First the formula is considered abstractly and then it is demonstrated on an explicit example…
Stability of driven systems with growing gaps, Quantum rings and Wannier ladders
Joachim Asch, Pierre Duclos, Pavel Exner
We consider a quantum particle in a periodic structure submitted to a constant external electromotive force. The periodic background is given by a smooth potential plus singular po…
Non-Equilibrium Statistical Mechanics of Anharmonic Chains Coupled to Two Heat Baths at Different Temperatures
Jean-Pierre Eckmann, Claude-Alain Pillet, Luc Rey-Bellet
We study the statistical mechanics of a finite-dimensional non-linear Hamiltonian system (a chain of anharmonic oscillators) coupled to two heat baths (described by wave equations)…